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52 multiple Choice Questions Practice Final Examination | MTH 140, Exams of Algebra

Saint Louis Community College - Meramec Algebra

Prof. Aletta Speegle

Material Type: Exam; Professor: Speegle; Class: Intermediate Algebra; Subject: Mathematics; University: Saint Louis Community College-Meramec; Term: Unknown 1989;

Typology: Exams

Pre 2010

Uploaded on 08/08/2009

koofers-user-cwg 🇺🇸

10 documents

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MTH:140 PRACTICE FINAL EXAMINATION

(Revised 02/08)

1. Factor completely: 24x2 + 8x +4

A) (6x + 4) (4x + 1) C) 4 (3x + 1) (2x + 1) E) none of these

B) 4 (6x2 + 2x + 1) D) can’t be factored

2. Factor completely: 25x2 + 10x +1

A) can’t be factored C) 16 (x + y) (x – 1) E) none of these

B) (5x + 1) (5x + 1) D) 5 (5x2 + 2x + 1)

3. Factor completely: 16x2 – 16y2

A) (4x + y) (4x – y) C) (2x + y) (8x – y) E) none of these

B) 16 (x + y) (x – y) D) can’t be factored

4. Factor completely: 6x2 – x – 2

A) (6x + 1) (x – 2) C) (3x – 2) (2x + 1) E) none of these

B) can’t be factored D) (3x + 2) (2x – 1)

5. Factor completely: x3 + 8

A) (x + 2) (x2 + 4) C) (x + 2)3 E) none of these

B) (x + 2) (x2 – 2x + 4) D) can’t be factored

6. Factor completely: 632 23 +−− xxx

A) 6)32( 2+−− xxx B) 6)1)(3(

+

−xxx C) )3)(2( 2−− xx

D) can’t be factored E) none of these

7. Simplify: 3283 −

A) 22 B) – 1.414 C) 2 D) 8 E) none of these

8. Simplify:

()

yxb

yx

20

5

3/15/2

2−

A) yxb

yx

20

3/52

2− B) 3/5

2−

y C) 3/8

32

y D) 5105

3/52

32

yxb

yx −

E) none of these

Partial preview of the text

Download 52 multiple Choice Questions Practice Final Examination | MTH 140 and more Exams Algebra in PDF only on Docsity!

MTH:140 PRACTICE FINAL EXAMINATION

(Revised 02/08)

Factor completely: 24x^2 + 8x + A) (6x + 4) (4x + 1) C) 4 (3x + 1) (2x + 1) E) none of these B) 4 (6x 2 + 2x + 1) D) can’t be factored
Factor completely: 25x^2 + 10x + A) can’t be factored C) 16 (x + y) (x – 1) E) none of these B) (5x + 1) (5x + 1) D) 5 (5x 2 + 2x + 1)
Factor completely: 16x^2 – 16y^2 A) (4x + y) (4x – y) C) (2x + y) (8x – y) E) none of these B) 16 (x + y) (x – y) D) can’t be factored
Factor completely: 6x^2 – x – 2 A) (6x + 1) (x – 2) C) (3x – 2) (2x + 1) E) none of these B) can’t be factored D) (3x + 2) (2x – 1)
Factor completely: x^3 + 8 A) (x + 2) (x 2 + 4) C) (x + 2)^3 E) none of these B) (x + 2) (x 2 – 2x + 4) D) can’t be factored

6. Factor completely: x^3 − 2 x^2 − 3 x + 6

A) x ( x^2 − 2 x − 3 )+ 6 B) x ( x − 3 )( x + 1 )+ 6 C) ( x − 2 )( x^2 − 3 )

D) can’t be factored E) none of these

7. Simplify: 3 8 − 32

A) 2 2 B) – 1.414 C) 2 D) 8 E) none of these

8. Simplify: (^ )

bx y

x y

0 2

2 2 /^5 −^1 /^35

A)

bx y

xy 0 2

2 2 −^5 /^3 B) 2 y −^5 /^3 C)

8 / 3

y

D) 5105

32 2 5 /^3

bx y

x y −

E) none of these

9. Solve for x: − 9 < 5 − 2 x ≤ 6

A)

− 2 > x >^11 B) 7

− 1 ≤ x < C)

7 < x ≤−^1 D)

− 2 < x <^11 E) none of these

Simplify: 3 2

A)

7

3 − 2 B)

5

1 C) 11

3 + 2 D)

(^2) E) none of these

Solve: (x – 1) 2 = 9 A) 4, 6 B) 4, –2 C) 8 D) 10 E) none of these

12. The formula ( 32 )

C = 5 F − relates Fahrenheit and Centigrade Temperature measures. Solve for F.

A) ( 32 )

F = 9 C − B)^32

5

F = 9 C + C)^ ( 32 )

5

F = 9 C + D)

5 F = 9 C +^32 E)^ none of these

How many ml. of distilled water must be added to 60 ml. of 70% alcohol solution to obtain a 60% solution? A) 20 ml. B) 5 ml. C) 15 ml. D) 10 ml. E) none of these
f ( x )= 2 x^2

f ( x + b ) =

A) 2 x^2^ + 2 xb + b^2 B) 2 ( x + b ) C) 2 ( x + b )^2 D) 2 ( x^2 + b^2 ) E) none of these

2

2 −

÷ +

x

x x x x

x

A) 8 B)

− 1 C) –8 D)

2 x

1 E) none of these

16. Divide 3 x^3 − x^2 − 3 byx + 2

A) 3 x^2 − 7 x + 14 , R =− 31 B) 2 x^2^ − 4 x − 7 , R = 11 C) 3 x^2 + 5 x + 10 , R =− 14

D) 3 x^2 + 5 x + 10 , R = 17 E) none of these

x x

A)

x^2 −

x (^) B) 8 C) 0 D) 8x E) none of these

Find the domain for the following function:

( )^2

x

gx^ x

A) (^) { x | All Re als x , ≠ (^0) } B) (^) { x | All Re als x , ≠ (^3) } C) (^) { x | All Re als , x ≠ ± (^3) }

D) { x | All Re als x , ≠ 2, x ≠ ± 3 } E) none of these

27. Solve for x: 2 x − 7 < 1

A) x < 4 B) 3 < x < 4 C) 4 < x < 3 D) x < 3 or x > 4 E) none of these

Find the x-coordinate of the solution:

x y

A) 0 B) 2 C) -1 D) 1 E) none of these

Write the equation of the line that passes through the points (−1, −2) and (0, −5).

A) 5

y = 1 x − B)

y = − 3 x − 5 C)^ y^ =^3 x −^5 D)^ y^ =^7 x −^5 E)^ none of these

The length of a rectangle is 2 more than 3 times its width. If the perimeter is 120 cm, what is the width of the rectangle? A) 12.3 B) 13.6 C) 14.5 D) 11.2 E) none of these

31. Choose the correct graph of y = 2 − x^2

A) -^3 -^2 -^1 1 2

5

10

15

B)

3 - 2 - 1 1 2 3
- 3
- 2
- 1

1

2

3

C)

3 - 2 - 1 1 2 3
- 6
- 4
- 2

2

D)

E) none of these

Write the equation of the line that passes through the point (−1, −2) with slope 3.

A) x − 3 y =− 1 B) 2 x + 3 y =− 1 C) x + 3 y =− 1 D) 3 x − y =− 1 E) none of these

Give the y-coordinate of the following system: 2x 3y 7

3x y 7 − =

− =

A) y = 3 B) y=-1 C) y = 2 D) y=0 E) none of these

1

A) 5i B) –5i C) ± 5i D) –5 E) none of these

35. Simplify: 3 12 − 2 27

A) 15 i B) − 2 3 C) 6 3 D) − 3 6 E) none of these

36. Solve for x: 2 x − 3 ≥ 5

A) x ≥ 4 or x ≤− 1 B) − 1 ≤ x ≤ 4 C) x > 4 or x <− 1 D) (^) x <− 1 or

x >^3

E) None of these

x

A)

2

x −

x B)

x

x C)

x

D)

x −

x E) none of these

Solve:

− = + − x^2 −

x

x x

A) 4 B) –2 C) 2 D) –4 E) none of these

Factor completely using integers: 4 x^4 − 16 x^2

A) (^2) ( )( 2 x^2^ + 2 )( x^2 − 2 ) B) ( 2 x^2 + 4 x )( 2 x^2 − 4 x ) C) 2 ( 2 ) x ⋅ x ( x + 2 )( x − 2 ) D) 4 x^2 ( x^2 − 4 ) E) none of these

Rationalize the denominator and simplify: x

x 3 2

, x > 0

A)

x

x x 9 4

− + B)

x

x 9 4

C) 5 D)

x

x x

+ E) none of these

Two planes leave St. Louis at the same time and fly in opposite directions. If one flies at 840 kmph and the other at 510 kmph, how long will it take them to be 3500 km. apart?

A)

9 hours B)

6 hours C)

11 hours D)

70 hours E) none of these

The speed of Lazy River’s current is 5 mph. If the boat travels 20 miles downstream in the same time that it takes to travel 10 miles upstream, find the speed of the boat in still water.

A) 8 mph B) 15 mph C) 12 mph D) 20 mph E) none of these

Answer Key

B
B
B
C
B
C
A
C
B
A
B
B
D
C
D
A
A
E , (x + 3)
D
B
D
C
A
E ,

25. A

26. C

27. B

28. D

29. B

30. C

31. C

32. D

33. B

34. D

35. E , 0

36. A

37. A

E , - 2, extraneous
C
D
D
A
D
B
C
D
C
E , (^) i 2

52 multiple Choice Questions Practice Final Examination | MTH 140, Exams of Algebra

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Partial preview of the text

Download 52 multiple Choice Questions Practice Final Examination | MTH 140 and more Exams Algebra in PDF only on Docsity!

MTH:140 PRACTICE FINAL EXAMINATION

6. Factor completely: x^3 − 2 x^2 − 3 x + 6

A) x ( x^2 − 2 x − 3 )+ 6 B) x ( x − 3 )( x + 1 )+ 6 C) ( x − 2 )( x^2 − 3 )

7. Simplify: 3 8 − 32

A) 2 2 B) – 1.414 C) 2 D) 8 E) none of these

8. Simplify: (^ )

bx y

x y

2 2 /^5 −^1 /^35

A)

2 2 −^5 /^3 B) 2 y −^5 /^3 C)

y

D) 5105

32 2 5 /^3

bx y

x y −

9. Solve for x: − 9 < 5 − 2 x ≤ 6

A)

− 2 > x >^11 B) 7

− 1 ≤ x < C)

7 < x ≤−^1 D)

− 2 < x <^11 E) none of these

A)

3 − 2 B)

3 + 2 D)

12. The formula ( 32 )

C = 5 F − relates Fahrenheit and Centigrade Temperature measures. Solve for F.

A) ( 32 )

F = 9 C − B)^32

F = 9 C + C)^ ( 32 )

F = 9 C + D)

f ( x + b ) =

÷ +

A) 8 B)

− 1 C) –8 D)

16. Divide 3 x^3 − x^2 − 3 byx + 2

A) 3 x^2 − 7 x + 14 , R =− 31 B) 2 x^2^ − 4 x − 7 , R = 11 C) 3 x^2 + 5 x + 10 , R =− 14

D) 3 x^2 + 5 x + 10 , R = 17 E) none of these

x x

A)

( )^2

x

gx^ x

27. Solve for x: 2 x − 7 < 1

x y

x y

A) 5

y = 1 x − B)

31. Choose the correct graph of y = 2 − x^2

A) -^3 -^2 -^1 1 2

B)

C)

D)

A) x − 3 y =− 1 B) 2 x + 3 y =− 1 C) x + 3 y =− 1 D) 3 x − y =− 1 E) none of these

A) 5i B) –5i C) ± 5i D) –5 E) none of these

35. Simplify: 3 12 − 2 27

36. Solve for x: 2 x − 3 ≥ 5

x >^3

x

x

A)

x −

x B)

x

x C)

x

D)

x −

x E) none of these

− = + − x^2 −

x

x x

A)

− + B)

C) 5 D)

x